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Finding the Fourth Proportional to 76,882, 115,330.56 and 21,478

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Solution

The fourth proportional to 76,882, 115,330.56 and 21,478 is: 32,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882 : 115,330.56 = 21,478 : x
  2. Step 2: Convert to fraction form
    76,882/115,330.56 = 21,478/x
  3. Step 3: Cross multiply
    76,882x = 115,330.56 × 21,478
  4. Step 4: Simplify right side
    76,882x = 2,477,069,767.68
  5. Step 5: Solve for x
    x = 2,477,069,767.68/76,882
  6. Step 6: Final answer
    x = 32,219.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.